Good point, also, when you pressurize something, the temperature will (possibly) rise. There is a direct relationship between Pressure, Temperature, and Volume.
As I learned it the equation was called the Ideal Gas Law, PV=nRT, Pressure * Volume = n(moles) * R (Gas Law Constant) * Temperature
So think about whats happening to those things in the system.
However, Stan does use an exhaust gas cooler... to some degree, not sure the output temperature